Final answer:
Pluto was discovered through the method of 'blinking' pairs of photographs taken several days apart. Clyde Tombaugh used this method to identify the faint object that turned out to be Pluto.
Step-by-step explanation:
The method that was used to discover Pluto in 1929-1930 was to take pairs of photographs several days apart and 'blink' them. A young observing assistant named Clyde Tombaugh found a faint object whose motion appeared to be about right for a planet far beyond the orbit of Neptune. By comparing the positions of the object in the two photographs, Tombaugh was able to identify Pluto.